3. which of the following sequences of functions is uniformly convergent on (0, 1)? (a) x n (b) nx+ 1 () nx+1 1 (d) nx+1 x

we put at x=1/n because we need to check in the neighbourhood or zero ...because problem occurs in nbd of zero only

in options b , c, d you put at x=1/n apply limit you will see only option c gives you zero remaining option b and d gives you non zero limit ....hence c is uniform continues

answer C